2003110242100 has 108 divisors (see below), whose sum is σ = 4809902107500. Its totient is φ = 723514457600.

The previous prime is 2003110242079. The next prime is 2003110242181. The reversal of 2003110242100 is 12420113002.

It can be written as a sum of positive squares in 6 ways, for example, as 507268723984 + 1495841518116 = 712228^2 + 1223046^2 .

It is a super-2 number, since 2×2003110242100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1247376 + ... + 2358424.

It is an arithmetic number, because the mean of its divisors is an integer number (44536130625).

Almost surely, 2^{2003110242100} is an apocalyptic number.

2003110242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003110242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404951053750).

2003110242100 is an abundant number, since it is smaller than the sum of its proper divisors (2806791865400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003110242100 is a wasteful number, since it uses less digits than its factorization.

2003110242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111234 (or 1111216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2003110242100 its reverse (12420113002), we get a palindrome (2015530355102).

The spelling of 2003110242100 in words is "two trillion, three billion, one hundred ten million, two hundred forty-two thousand, one hundred".